3x+2x(3-x)=-3

Solution for 3x+2x(3-x)=-3 equation:

3x+2x(3-x)=-3

We move all terms to the left:

3x+2x(3-x)-(-3)=0

We add all the numbers together, and all the variables

3x+2x(-1x+3)-(-3)=0

We add all the numbers together, and all the variables

3x+2x(-1x+3)+3=0

We multiply parentheses

-2x^2+3x+6x+3=0

We add all the numbers together, and all the variables

-2x^2+9x+3=0

a = -2; b = 9; c = +3;
Δ = b2-4ac
Δ = 92-4·(-2)·3
Δ = 105
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-\sqrt{105}}{2*-2}=\frac{-9-\sqrt{105}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{105}}{2*-2}=\frac{-9+\sqrt{105}}{-4}
$